• Title/Summary/Keyword: Derivative values

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COMPOSITE-EXPONENTIAL-FITTING INTERPOLATION RULES

  • Kim, Kyung-Joong
    • Communications of the Korean Mathematical Society
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    • v.23 no.2
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    • pp.295-305
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    • 2008
  • This paper demonstrates how composite-exponential-fitting interpolation rules can be constructed to fit an oscillatory function using not only pointwise values of that function but also of that functions's derivative on a closed and bounded interval of interest. This is done in the framework of exponential-fitting techniques. These rules extend the classical composite cubic Hermite interpolating polynomials in the sense that they become the classical composite polynomials as a parameter tends to zero. Some examples are provided to compare the newly constructed rules with the classical composite cubic Hermite interpolating polynomials (or recently developed interpolation rules).

Uniqueness of Certain Non-Linear Differential Polynomials Sharing 1-Points

  • Banerjee, Abhijit
    • Kyungpook Mathematical Journal
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    • v.51 no.1
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    • pp.43-58
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    • 2011
  • Using the notion of weighted sharing of values we study the uniqueness of meromorphic functions when certain non-linear differential polynomials share the same 1-points. Though the main concern of the paper is to improve a result of Fang [5] but as a consequence of the main result we improve and supplement some former results of Lahiri-Sarkar [16], Fang-Fang[6] et. al.

Synthesis and Electroluminescent Properties of Fluoranthene Derivatives

  • Kim, Soo-Kang;Park, Jong-Wook
    • 한국정보디스플레이학회:학술대회논문집
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    • 2007.08a
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    • pp.621-624
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    • 2007
  • As a new fluoranthene derivative, a synthesis of benzo[k]fluoranthene was suggested, so new blue emitting materials, 7,12-diphenylbenzo[k] fluoranthene [DPBF] and 7,8,10- triphenylfluoranthene [TPF] were synthesized. $EL_{max}$ wavelength of the device using DPBF as an emitting layer was 436 and 454nm in the deepblue region, which are similar values with PL. The device that used DPBF as an emitting layer showed high efficiency of 2.11cd/A and the excellent color coordinate value of (0.161, 0.131) in deep-blue region.

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ON THE DERIVATIVES OF THE VECTOR-VALUED CONTINUOUS FUNCTION

  • Lee, Choon-HO
    • Journal of applied mathematics & informatics
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    • v.23 no.1_2
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    • pp.489-496
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    • 2007
  • Let g be a continuous function on an interval I which is not constant on any subinterval of I, and let ${\mu}$ be a Borel measure on I. In this paper we give a necessary and sufficient conditions guaranteeing, for the strongly measurable function f on I with values in a Banach space X, the existence of a continuous primitive function F on I with respect to g.

Fast Gain Scheduling Using Fuzzy Disturbance Estimator

  • Lee, Seon-Ho
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.48.5-48
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    • 2001
  • The resulting stabilizing controller in this paper consists of the disturbance estimator and the gain scheduled controller. The disturbance estimator tracks the unknown external disturbance and its derivative information in the closed-loop control system using fuzzy logic based adaptation law. Moreover, the gains of the stabilizing controller are appropriately scheduled according to the estimated values. Furthermore, since the estimation law is combined with the stabilizing controller in the closed control loop, it asymptotically minimizes the estimation error. In order to conrm the usefulness of the proposed control scheme, it is applied to the magnetic suspension systems.

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Liquid Chromatographic Resolution of Racemic Drugs on Various $\alpha$-Arylalkylamine Derived Chiral Stationary Phases

  • Hyun, Myung-Ho;Pirkle, William H.
    • Bulletin of the Korean Chemical Society
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    • v.8 no.1
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    • pp.45-47
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    • 1987
  • After conversion to their 3,5-dinitrobenzoyl or 3,5-dinitroanilide derivatives, the enantiomers of a number of drugs may be chromatographically separated on various ${\alpha}$-arylalkylamine-derived chiral stationary phases (CSPs). While each CSP used in this study is useful, CSP 1 is best able to resolve the 3,5-dinitroanilide derivative of Ibuprofen while CSP 9 generally gives rather large ${\alpha}$ values for the resolution of 3,5-dinitrobenzoyl derivatives of the enantiomers of ${\beta}$-adrenergic blocking drugs.

A Rapid Quantitative Assay of Intact Ambroxol Tablets by FT-NIR Spectroscopy

  • Kim, Do-Hyung;Ah, Woo-Young;Kim, Hyo-Jin
    • Proceedings of the PSK Conference
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    • 2003.10b
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    • pp.213.2-213.2
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    • 2003
  • A simple analytical procedure using FT-NIR for the rapid determination of individual ingredients was evaluated. Direct measurements were made by reflection using a reflectance accessory, by transmittance using tablet accessory and turn table. FT-NIR spectral data were transformed to the first derivative. Partial Least Square Regression(PLSR) was applied to quantify near-infrared (NIR) spectra of 2 ingredients. These calibration models were cross-validated (leave-one-out approach). The prediction ability of the models was evaluated on ambroxol tablets and compared with the real values in manufacturing procedure. (omitted)

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Approximate Multi-Objective Optimization of a Quadcopter through Proportional-Integral-Derivative Control (PID 제어를 통한 쿼드콥터 다중목적 근사최적설계)

  • Yoon, Jaehyun;Lee, Jongsoo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.7
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    • pp.673-679
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    • 2015
  • In this study, the nondominated sorting genetic algorithm (NSGA-II) is used to obtain the optimized proportional-integral-derivative (PID) gain value that can quickly recover the motion of a quadcopter after a disturbance. Prior to PID control, the four-rotor quadcopter interval was defined using computational fluid dynamics (CFD). Through the definition of this model, the PID control algorithm was generated. To construct a response surface model, D-optimal programming was used for the generation of experimental points. For this purpose, a gain value that satisfies both the roll and altitude PID gain values is obtained. Using the NSGA-II, the gain value of shorten time of the quadcopter motion control can be optimized.

Analgesic Effects of DA-5018, a New Capsaicin Derivative, after Subcutaneous Injection and Topical Application (새로운 캅사이신유도체 DA-5018의 피하주사 및 국소도포시 진통효과)

  • 김희기;배은주;신명수;손문호;김순희;김원배;양중익;공재양
    • Biomolecules & Therapeutics
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    • v.5 no.2
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    • pp.117-124
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    • 1997
  • The analgesic effects of DA-5018, a new caosaucin derivative, were evaluated in various experimental pain models. Drugs were administered subcutaneously or topically. When drugs were administered subcutaneously, 1) the $ED_{50}$ of DA-5018, morphine . HCI, capsaicin and acetaminophen were 0.091-2.0, 0.3-4.3, 1.4-26.5 and 45.4-643 mg/kg, respectively in various pain or inflammatory models including acetic acid writhing, formalin, tail flick, Randall-Selitto, hot plate and crouton oil-induced ear edema test, 2) the AD2 values (the dose for doubling of pain threshold of vehicle control) of DA-5018, capsaicin and ketoprpgin were 1.07 $\pm$ 0. 18, 23.47$\pm$4.46 and 2.97$\pm$0.43 mg/kg in Freund's complete adjuvant (FCA)-induced arthritic pain model. And by topical application, 1) neither DA-5018 0.3% cream nor Zostrix-HP (capsaicin 0.075%) were effective in formalin test, 2) although DA-5018 0.3% cream significantly inhibited the croton oil-induced ear edema being better than Zostrix-HP and Kenofen (ketoprofen 3%). 3) In FCA model, DA-5018 0.3% cream reversed the decreased pain threshold of arthritic rat from 136.4 g (day 0) to 289.0 g (day 5) and 250.1 g (day 10), which was similar to Zostrix-HP. These results suggest that DA-5018 administered subcutaneously has a potent and broad analgesic spectrum than nonsteroidal antiinflammatory drugs against acute and chronic pain, and by topical application it exerts comparable analgesic and antiinglammaatory effects to capsaicin cream.

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Target segmentation in non-homogeneous infrared images using a PCA plane and an adaptive Gaussian kernel

  • Kim, Yong Min;Park, Ki Tae;Moon, Young Shik
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.9 no.6
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    • pp.2302-2316
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    • 2015
  • We propose an efficient method of extracting targets within a region of interest in non-homogeneous infrared images by using a principal component analysis (PCA) plane and adaptive Gaussian kernel. Existing approaches for extracting targets have been limited to using only the intensity values of the pixels in a target region. However, it is difficult to extract the target regions effectively because the intensity values of the target region are mixed with the background intensity values. To overcome this problem, we propose a novel PCA based approach consisting of three steps. In the first step, we apply a PCA technique minimizing the total least-square errors of an IR image. In the second step, we generate a binary image that consists of pixels with higher values than the plane, and then calculate the second derivative of the sum of the square errors (SDSSE). In the final step, an iteration is performed until the convergence criteria is met, including the SDSSE, angle and labeling value. Therefore, a Gaussian kernel is weighted in addition to the PCA plane with the non-removed data from the previous step. Experimental results show that the proposed method achieves better segmentation performance than the existing method.